Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 18 Issue 2
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- Pages.161-173
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- 2005
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
THE FUNDAMENTAL GROUP OF THE CONNECTED SUM OF MANIFOLDS AND THEIR FOLDINGS
- El-Ghoul, M. (Department of Mathematics Faculty of Science) ;
- El-Ahmady, A.E. (Department of Mathematics Faculty of Science) ;
- Rafat, H. (Department of Mathematics Faculty of Science) ;
- Abu-Saleem, M. (Department of Mathematics Faculty of Science)
- Received : 2005.06.06
- Published : 2005.10.31
Abstract
In this paper, we will introduce the folding on the connected sum of some types of manifolds which are determined by their fundamental group. Also, the fundamental group of the unfolding of the connected sum will be deduced some types of conditional foldings restricted on the elements of the fundamental groups are deduced. Theorems governing these relations will be achieved. Some applications in manufacturing are presented.